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Application of Derivatives

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  1. 201.The function [f(x)=(x)/(x^2-6 x-16), x R--2,8]
  2. 202.The function [f(x)=2 x+3(x)^(2)/(3), x R], has
  3. 203.Let [f: R (0, )] be strictly increasing function such that [ _x (f(7 x))/(f(x))=1].
  4. 204.If the function [f:(-,-1] (a, b]] defined by f(x)=e^x^3-3 x+1 is one - one and onto, then …
  5. 205.[ If f(x)=|[arrayccc x^3 & 2 x^2+1 & 1+3 x 3 x^2+2 & 2 x & x^3+6 x^3-x & 4 & x^2-2 array]|…
  6. 206.Let a rectangle ABCD of sides 2 and 4 be inscribed in another rectangle PQRS such that the…
  7. 207.Let [f(x)=x^5+2 x^3+3 x+1, x R], and g(x) be a function such that g(f(x))=x for all [x R].
  8. 208.For the function [f(x)= x+3 x-(2)/()(x^2+x), where x [0, ()/(2)],] consider the following …
  9. 209.Let f(x)=_0^x^2 t^2-8 t+15e^t dt, x R.
  10. 210.A spherical chocolate ball has a layer of ice-cream of uniform thickness around it.
  11. 211.If the function f(x)=2 x^3-9 a x^2+12 a^2 x+1, where a>0, attains its local maximum and lo…
  12. 212.Let a>0.